The continuum limit is an approximate procedure, by which coupled
dynamical systems on large graphs are replaced by an evolution
integral equation on a continuous spatial domain. This approach
has been instrumental for studying dynamics of diverse networks throughout
physics and biology.
We use the combination of ideas and results from the theories of
graph limits and nonlinear evolution equations to develop a rigorous
justification for using the continuum limit in a variety of dynamical models on
deterministic, random, and quasirandom graphs. As an application, we discuss
stability of spatial patterns in the Kuramoto mofdel on certain Caley and
random graphs.

Time and Place

Talks usually take place on Tuesday at 3:15 p.m.
at the Free University Berlin
Arnimallee 3 (rear building), room 130.